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Finding the Fourth Proportional to 1,279.29, 1,918.32 and 446.34

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Solution

The fourth proportional to 1,279.29, 1,918.32 and 446.34 is: 669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.29 : 1,918.32 = 446.34 : x
  2. Step 2: Convert to fraction form
    1,279.29/1,918.32 = 446.34/x
  3. Step 3: Cross multiply
    1,279.29x = 1,918.32 × 446.34
  4. Step 4: Simplify right side
    1,279.29x = 856,215.76
  5. Step 5: Solve for x
    x = 856,215.76/1,279.29
  6. Step 6: Final answer
    x = 669.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.